Maximality of entropy in finite von Neumann algebras

被引:0
作者
Uffe Haagerup
Erling Størmer
机构
[1] Department of Mathematics and Computer Science,
[2] Odense University,undefined
[3] Campusvej 55,undefined
[4] DK-5230 Odense M,undefined
[5] Denmark,undefined
[6] Department of Mathematics,undefined
[7] University of Oslo,undefined
[8] P.O. Box 1053 Blindern,undefined
[9] N- 0316 Oslo,undefined
[10] Norway,undefined
来源
Inventiones mathematicae | 1998年 / 132卷
关键词
Entropy; Entropy Function; Abelian Subalgebra; Maximal Abelian Subalgebra;
D O I
暂无
中图分类号
学科分类号
摘要
It is shown that the entropy function H(N1,…,Nk) on finite dimensional von Neumann subalgebras of a finite von Neumann algebra attains its maximal possible value H(⋁ℓ=1kNℓ) if and only if there exists a maximal abelian subalgebra A of ⋁ℓ=1kNℓ such that A=⋁ℓ=1k(A∩Nℓ).
引用
收藏
页码:433 / 455
页数:22
相关论文
empty
未找到相关数据